Use Windows PowerShell in Exchange Online
A few articles on working with Exchange Online (Office 365 for enterprises, Live@edu) with Windows Powershell.
Install and Configure Windows PowerShell
https://technet.microsoft.com/en-us/exchangelabshelp/cc952756
Connect Windows PowerShell to the Service
https://technet.microsoft.com/en-us/exchangelabshelp/cc952755
Reference to Available PowerShell Cmdlets in Exchange Online
https://technet.microsoft.com/en-us/exchangelabshelp/dd575549
Administrator Role Groups in Exchange Online
https://technet.microsoft.com/en-us/exchangelabshelp/ee441216
Role Based Access Control in Exchange Online
https://technet.microsoft.com/en-us/exchangelabshelp/dd207274
Role Assignment Policies in Exchange Online
https://technet.microsoft.com/en-us/exchangelabshelp/ee424427
Enjoy!